PLC Papers Created For:

Transcription

1 PLC Papers Created For: Year 10 revision booklet - half term 1 - foundation

2 Plotting straight line graphs 1 Grade 3 Objective: Plot graphs of straight-lines in the coordinate plane Question 1

3 Question 2 (1) (Total: 3 marks)

4 Question 3 (1) (Total: 3 marks) Total Mark /10

5 Position-to-term rules 1 Grade 3 Objective: diagrams. Generate terms of a sequence from a position-to-term rule, including from patterns and Question 1. Write down the first six terms of the sequence for each of these position-to-term rules. (a) Position number add 6.. (1) (b) (2 position number) add 1.. (1) Question 2. The table shows the first five terms of a number sequence and their position in the sequence. (Total 2 marks) Position Term (a) Describe the position-to-term rule for this sequence... (1) (b) Write down the 10 th term of the sequence.. (1) (Total 2 marks)

6 Question 3. Look at these shapes made from squares. (a) Draw shape 4. (1) (b) Complete this table Shape number Number of squares 1 3 (c) How many squares are in the 6 th shape? (1) (1) (d) Complete this formula to describe the position-to-term rule. Number of squares = shape number 1 (1) (Total 4 marks)

7 Question 4. The table shows some terms in a number sequence and their position in the sequence. Position Term Fill in the missing terms in the sequence. (Total 2 marks) Total /10

8 Sequences and Rules 1 Grade 2 Objective: diagrams. Generate terms of a sequence from a term-to-term rule, including from patterns and Question 1. Use the first term and the term-to-term rule to generate the first five terms of this sequence. First term is 4, term-to-term rule is add (Total 1 mark) Question 2. Write down the next two terms in each of the sequences below: (a) 5, 7, 9, 11,,, (1) (b) 2, 4, 8, 16,,, (1) (Total 2 marks) Question 3. Describe the term-to-term rule for each of these sequences. (a) 3, 7, 11, 15, 19,... (1) (b) 37, 33, 29, 25, 21,..... (1) (Total 2 marks)

9 Question 4. Write down the missing terms in this sequence. 8,, 14, 17,, (Total 2 marks) Question 5. Look at the sequence of patterns made from counters. (a) Draw the next two patterns in the sequence. (b) How many counters will be in pattern 6?.. (1) (Total 3 marks) Total /10

10 Measuring lines and angles 1 Grade 3 Objective: Measure lines and angles in geometric figures, including maps and scale drawings. Question 1: Give the metric unit that would be sensible to use for the following: (a) Height of an adult male:.. (b) Capacity of a small water bottle:. (c) Distance from London to Edinburgh: (Total 3 marks) Question 2. (a) Measure the length of the line...cm (b) Measure the angle:... o (Total 2 marks) Question 3. Estimate the: (a) Height of a 2 storey house. (b) Length of a pencil. (c) Time taken to run 1 km. (Total 3 marks) Question 4. There are 14 pounds in a stone. Write 11 stone and 2 pounds as a number of pounds. (Total 2 marks) Total /10

11 Properties of triangles 1 Grade 3 Objective: Question 1 Derive and apply the properties of triangles and know their names a) What type of triangle has three sides that are all the same length?.. (1) b) What type of triangle has sides that are all different lengths?.. (1) c) What type of triangle has one line of symmetry? Question 2.. (1) Find the size of the missing angles in these triangles. Write down any calculations to show how you found your answers. (Total 3 marks) a d b 40 0 e c 32 0 e Calculations Calculations Calculations c =.. a =.. b = (3) d = e = e = Total Marks / 10 (Total 7 marks)

12 Quadrilaterals 1 Grade 3 Objective: Derive and apply the geometric properties of the different quadrilaterals Question 1 A B D C E F Fill in each gap in the following sentences. Use letters from the diagram. a) Shapes.... and.... are Trapeziums. b) Shape... is a Rhombus c) Shapes... and... do not have lines of symmetry d) Shape.. is a Square e) The mathematical name for shape A is a. (1) (1) (1) Question 2 (Total 7 marks) Use this diagram to explain why the angles in a quadrilateral add up to State the triangle angle fact you used in your explanation. Angles in a quadrilateral add up to because (Total 3 marks) Total / 10

13 Using Standard Units 1 Grade 3 Objective: Use standard units of measure and related concepts (mass, length, area, volume, time money and other measures) Question 1. (a) A tennis match starts at 7:51 and finishes at 9:17. How long does do the tennis match last?... (1) (b) A birthday cake takes 1 hour and 17 minutes to bake. It has to be ready to serve at 15:06. It has to rest for 12 minutes when taken out of the oven. What time should it go into the oven?... (Total 3 marks) Question 2 (a) Katie builds a wall 2.5 metres tall. She adds a fence on top which is 52cm tall. What is the combined height of the fence and the wall? (Total 2 marks)

14 Question 3. Write these lengths in order of size starting with the smallest. You must show your working. (i) 0.72km (ii) 72 metres (iii) cm..,..,.. (Total 3 marks) Question 4. Clare has a bag of flour weighing 2kg. She uses 400grams to make a cake and 1.2kg to make a batch of scones. How many grams of flour does she have remaining?... (Total 2 marks) Total marks / 10

15 Add and Subtract Integers 1 Grade 2 Objective: Add and subtract integers using written methods. Question 1 Price of a can of a fizzy drink is 60p each. The price of a bottle of juice is 90 p each. A shop sold 70 fizzy drinks and 50 juice drinks. How much more was spent of fizzy drink than on juice drink, in total? Question 2 Gaurav has a 750ml bottle of cold drink. Rosie has 279ml of the same drink in a can. How many more ml of drink does Gaurav have than Rosie?

16 Question 3 Fill in the blanks: (a) (b) Question 4 The caterers at a party made 696 meals. 965 people turned up for the party. How many people go without a meal? Total /10

17 Decimals1 Grade 3 Objective: Understand adding subtracting multiplying and dividing decimals. Question 1 Three parcels weigh 7.2 kg, kg and 3.1 kg. Find their total mass. Question 2 Work out Question 3 (a) Tom gets paid 3.15 an hour. One week he worked for 26 hours. How much is his weekly pay?

18 (b) Tom is saving for a gift. He wants to give his friend a gift that costs How much more money does Tom need after he has worked 26 hours in one week. Question 4 1 bottle of milk = 1.39 Lacey bought five bottles of milk. How much will it cost altogether? Total /10

19 Dividing integers 1 Grade 2 Objective: Dividing integers using written methods. Question 1 P = 4284 Q = 21 Find the value of P divided by Q: Question 2 Fill in the empty box to complete the following calculations: 343 = 49 Question 3 Three numbers multiply together to equal 1120 Two of the three numbers = 10 and 10 Find the 3 rd number:

20 Question 4 Evaluate Evaluate = Total /10

21 Multiplying integers 1 Grade 2 Objective: Multiplying integers using written methods. Question 1 Write correct numbers in these two boxes to make the calculations correct: 25 x 12= x 3 = Question 2 If P = Q = 5 7 Find the product of P and Q. Question 3 Write down the value of (-24) 3? Show all of your working out. Question 4 Can 45 2 be equal to 1440? Explain how you know your answer.

22 Question 5 Evaluate Total /10

23 Ordering numbers 1 Grade 2 Objective: Compare and order positive and negative integers, decimals and fractions, including using the symbols =,, <, >,, Question 1 Circle the integers from the list: / /9-27 Question 2 Write these numbers in order of size from lowest to highest: (a) 60% 4/ /3 (1) (b) 3/5 35% /8 (c) (1)

24 Question 3 Insert one of the symbols, <, > or = to make each of the following statements correct: / % (4) Total /10

25 Place Value 1 Grade 2 Objective: Understand place value of decimals. Question 1 Find the place value of 2 in: = = Question 2 Put these numbers in order from higher to lowest: a) b)

26 Question 3 Which of these decimal numbers is closest to 1. a) (b) (1) (1) Question 4 Circle the value of 3 in the number 5.037: 3 3/10 1/10 3/1000 3/100 Total /10

27 Use ratio notation 1 Grade 3 Objective: Use ratio notation, including reduction to simplest form. Question 1. Simplify the following ratios: (a) 4:6 (1) (b) 21:15 (1) (c) 12:36 (1) (d) 2 5 : 6 10 (1) (Total 4 marks) Question 2 Share the following into the given ratios. (a) 30 into 1:2:3... (b) 4 km into 3:7... (Total 4 marks)

28 Question 3 Reduce each of the following ratios to the form 1:n (a) 5:35.(1) (b) 3:27.(1) (Total 2 marks) Total /10

29 Charts & Diagrams 1 Grade 3 Objective: Interpret and construct charts and diagrams (including bar charts, pictograms and frequency diagrams) for categorical data Question 1 Sian asked the students in her year group about how they spent their spare time. She collected the results for boys and girls. The results for the most popular activities are shown in the bar charts below. f Boys f Girls Play computer games Watch movies Play sport Watch sport Activity 0 Play computer games Watch movies Play sport Watch sport Activity a) How many boys liked to play computer games? b) What was the mode for boys? c) How many people in total liked to watch movies? d) How many girls were there altogether? (1) (1) (1)

30 Question 2 The pictogram shows the number of bicycles sold by a shop during one week but it is incomplete. Monday Tuesday Wednesday Thursday Friday Saturday Key : represent 4 bicycles a) Draw the symbol to represent 1 bicycle. b) Write down the number of bicycles sold on Saturday (1) c) 8 bicycles were sold on Thursday. 17 bicycles were sold on Friday. Use this information to complete the pictogram. d) What is the total number of bicycles sold during the week? (1) (1) Total / 10

31 Vertical Line Charts 1 Grade 3 Objective: Interpret and construct vertical line charts for ungrouped discrete data. Question 1. The vertical line chart shows the number of snails in a garden along one close. (a) How many houses are there in the close? (b) What is the mode number of snails in gardens along this close? (1) (c) What is the mean number of snails in the gardens in this close? (3)

32 Question 2. Here is some data about the number of pets pupils in 11H have. Draw a vertical line chart to represent this data. Number of Pets Frequency (4) Total / 10

33 Changing the subject 1 Grade 4 Objective: Change the subject of a formula Question 1 Rearrange to make x the subject.... (Total 3 marks) Question 2 Rearrange P = 2w + 2l to make w the subject.... (Total 2 marks)

34 Question 3 Rearrange the equation x 3 + 2x 2 5 = 0 to obtain 5 x = x (Total 3 marks) Question 4 Rearrange the quadratic equation x 2 2x 6 = 0 to obtain x = 2 x (Total 2 marks) Total /10

35 Coordinates in four quadrants 1 Grade 3 Objective: Work with coordinates in all four quadrants. Question 1 Write down the coordinates of: The red Angry bird... (A1) The green Pig...(A1) Question 2 Follow the following instructions using the graph on the next page. a) Plot (2,4) and label it A b) Plot B (2,0) c) Mark M the mid point of AB, and write down the coordinates. (A1) d) Plot C (-3,0) e) Plot D (-3,4) f) Name the shape by joining ABCD. (A1) g) What is the area of the shape?..(a1) h) What is the perimeter of the shape?... (A1) (8)

36 Total marks / 10

37 Factorise single bracket 1 Grade 4 Objective: Take out common factors to factorise Question 1 Factorise y y Question 2 Factorise 10x 15 Question 3 Factorise 3f + 9 Question 4 Factorise 2x (Total 1 mark)... (Total 1 mark)... (Total 1 mark)... (Total 1 mark) Question 5 Factorise 18a 2 34 Question 6... (Total 1 mark) Factorise 8y (Total 1 mark)

38 Question 7 Factorise 3x+6... (Total 1 mark) Question 8 Factorise 8s+2t Question 9... (Total 1 mark) Factorise ac-c Question (Total 1 mark) Factorise 4x 2 +3x... (Total 1 mark) Total /10

39 Linear equations one unknown 1 Grade 3 Objective: Solve linear equations with one unknown on one side Question 1 Solve 2x = (1) Question 2 Solve y - 7 = 3 Question 3... (1) Solve 5 = 4... (1) Question 4 Solve 2 3 = 2... Question 5 Solve 2x 6 = 10...

40 Question 6 Solve 4r + 7 = Question 7 Solve 3g = 0... (1) Total /10

41 Multiplying single brackets 1 Grade 4 Objective: Multiply a single term over a bracket Question 1 Expand the following y(y+2)... (Total 1 mark) Question 2 Expand the following a(b+c) Question 3... (Total 1 mark) Expand the following -2(m+3) Question 4... (Total 1 mark) Expand the following -5(p-2) Question 5... (Total 1 mark) Expand the following 3(t-1) + 5t... (Total 2 mark)

42 Question 6 Expand the following 3(d+2)+4(d-2) Question 7... (Total 2 mark) Expand the following 3(y+10)-2(y+5)... (Total 2 mark) Total /10

43 Non standard real life graphs 1 Grade 4 Objective: Plot and interpret non-standard real-life graphs to find approximate solutions to kinematics problems involving distance, speed and acceleration Question 1 Here is part of a travel graph of Jacob s journey from his house to the library. (a) How far is Jacob s house from the library?.km (1) (b) Work out Jacob s speed for the first 20 minutes of his journey. Give your answer in km/h..km/h Jacob spends 30 minutes at the library. He then travels back to his house at a steady speed of 64 km/h (c) Complete the travel graph to show this. (Total 5 marks)

44 Question 2 Here is a conversion graph changing between kilograms and pounds. (a) Use the graph to change 22 pounds to kilograms...kg (1) (b) Use the graph to change 2.5 kilograms to pounds. pounds (1) Fabio weighs 110 pounds. (c) Change 110 pounds to kilograms...kg (1) (Total 3 marks)

45 Question 3 Gary goes for a drive in his car. Here is a distance-time graph for his journey. (a) For which section of the journey is the car travelling fastest?..to (1) (b) State a section of the journey when the car is slowing down...to (1) (Total 2 marks) Total marks / 10

46 Sequences of square, triangular and cube numbers 1 Grade 3 Objective: Recognise and use sequences of square, triangular and cube numbers, and simple arithmetic sequences. Question 1. Here are the first five terms of a sequence. 1, 4, 9, 16, 25, (a) Write down the next two terms of this sequence...,.. (b) Find the 10 th term of the sequence. (1) (Total 3 marks) Question 2. The first three cube numbers are: 1, 8, 27, Write down the 4 th and 5 th cube numbers.. and.. (Total 2 marks)

47 Question 3. This pattern of dots show the first three triangular numbers. (a) Draw the pattern of dots for the 4 th triangular number. (1) (b) How many dots are there in the 6 th triangular number?.(1) (Total 2 marks) Question 4. (a) Write down the next two terms of this arithmetic sequence. 3.8, 4.0, 4.2,,, (1) (b) Work out the missing terms in this arithmetic sequence. 14,, 6,, -2, -6, (Total 3 marks) Total /10

48 Substitution 1 Grade 4 Objective: Substitute numerical values into formulae and expressions, including scientific formulae Question 1. Complete this table of values. n 3n (Total 2 mark) Question 2 Calculate the value of y when x = 2 are You must show your working. = (Total 2 marks)

49 Question 3 a. Work out the value of v when u = 80, a = 10 and t = 4 b. Work out the value of v when u = 35, a = -5 and t = 12 a. = + b.... (Total 2 mark) Question 4 Work out the value of T when a. p = 5 and b. p = -1 a. = b.... (Total 2 marks)

50 Question 5 Work out the value of V to 3 sig fig when (a) π = 3.14, r = 10, and h = 15 (b) π = 3.14, r = 2.4, and h = 20 = h a. b.... (Total 2 marks) Total /10

51 nth term of a linear sequence 1 Grade 4 Objective: Write and expression for the nth term of a linear sequence. Question 1. Write down the first five terms of the sequence whose nth term is given by: (a) 3n + 4 (1) (b) 2n 1 (1) (Total 2 marks) Question 2. Here are the first five terms of a linear sequence. 1, 5, 9, 13, 17, (a) Write down an expression in terms of n, for the nth tem of this sequence. (b) Find the 10 th term of this sequence. (1) (Total 3 marks) Question 3. The first five terms of a linear sequence is given below: -3, 1, 5, 9, 13, Find an expression in terms of n, for the nth tem of this sequence.

52 (Total 2 marks) Question 4. The diagrams show a sequence of patterns made from square tiles. (a) In the space below, draw pattern number 4. (1) (b) Write an expression in terms of n for the number of tiles in pattern n. (1) (c) Find the total number of tiles in pattern number 10. (1) (Total 3 marks) Total /10

53 3D shapes 1 Grade 4 Objective: Identify the properties of 3-D shapes Question 1. Here are some solid 3-D shapes. (a) Write down the letter of the shape that is a sphere... (1) (b) How many vertices does shape B have?.. (1) (c) How many faces does shape A have?.. (1) (d) How many edges does shape D have?.. (1) Question 2. Write down the name of each of these 3D shapes (Total 4 marks) A B C A.. (1) B.. (1) C.. (1) (Total 3 marks)

54 Question 3. A prism has 7 faces, 15 edges and 10 vertices a) What is the full name of the prism? b) Name the different shapes you would need for the faces. (Total 3 marks) Total /10

55 Alternate & corresponding angles 1 Grade 4 Objective: Apply the properties of angles and a point, angles on a straight line, vertically opposite angles, alternate angles and corresponding angles Question 1 D 62 º y º E F 64 º G DE is parallel to FG. Diagram NOT accurately drawn (i) Find the size of the angle marked y. (ii) Give a reason for your answer (Total 2 marks)

56 Question 2 (Total 2 marks)

57 Question 3

58 Question 4 y = Total /10

59 Area of Composite Shapes 1 Grade 4 Objective: Calculate the area of composite shapes including circles. Question 1. Find the area of the following composite shapes: (a) (b) (Total 4 marks)

60 Question 2. Find the area of the shape. m 2 (3) Question 3. Find the area of the shaded region. (3) Total /10

61 Bearings 1 Grade 4 Objective: Measure and use bearings (including the 8 compass point bearings). Question 1. On what bearing are the following directions? (a) North (b) South East (c) North West (d) South (Total 4 marks) Question 2. What angles are between the following compass points? (a) North West to South West (b) South to North East (c) South to South East (d) North West to South East (Total 4 marks) Question 3. Abi and Jake are in an orienteering race. Abi runs from checkpoint A to checkpoint B, on a bearing of 065 Jake is going to run from checkpoint B to checkpoint A. Work out the bearing of A from B. (Total 2 marks) Total /10

62 Perimeter of 2D shapes 1 Grade 4 Objective: Calculate the perimeter of 2D shapes including circles. Question 1. Find the perimeter of the following regular polygons, given the dimensions: (a) 5cm (1) (b) 6cm (1) (Total 2 marks) Question 2. (a) Find the side of a square which has a perimeter of 32cm. (b) Find the missing side on a rectangle when other sides are 10cm, 10cm and 3cm. (1) (c) Two of the sides of a rectangle are 4cm and 7cm. What is the perimeter? (1) (Total 4 marks)

63 Question 3 Find the perimeter of a circle with a radius 2cm. Give your answer to 1 decimal place. Question 4. A regular heptagon has a perimeter of 140 cm. How long is each side? Total /10

64 Plans & elevations 1 Grade 4 Objective: Construct and use plans and elevations of 3D shapes Question 1 The diagram represents a solid made from 9 small cubes. A B The view of the solid from direction A is shown below. The diagram represents a solid made from 9 small cubes. On the grid below, draw the view of the solid from direction A On the grid below, draw the view of the solid from direction B. (Total 3 marks) Question 2 The diagram shows a prism with an L-shaped cross section. Draw in the plane of symmetry (1 mark) On the grid below, draw the elevation of this solid, from the direction shown by the arrow. (Total 3 marks)

65 Question 3 (Total 3 marks) Total Marks / 10

66 Adding and subtracting fractions 1 Grade 4 Objective: Add and subtract fractions including improper fractions and mixed numbers. Question 1 Work these out: = = Question 2 There are 700 counters in a bag. These are either black, blue or purple. 2/7 of the counters are blue. 1/5 are purple. a) What fraction of the counters are black? b) How many counters are black?

67 Question Total /10

68 Compound Measures 1 Grade 4 Objective: Use Compound Measures Question 1. Convert the following units (a) 0.5 hours to minutes.. (1) (b) 24 hours to minutes.... (1) (c) 3720 minutes to hours... (1) (d) 720 mins to hours.. (1) (Total 4 marks)

69 Question 2 (a) Bob drives for 5 hours at 40mph..How far does Bob drive?.. (b) Hollie drives at a speed of 80km/h. If she travels for 30 minutes, how far has she travelled?.. Question 3. Ellen runs for 20 minutes and travels 2 miles. What is her speed in miles per hour? (Total 4 marks). (Total 2 mark) Total /10

70 Converting Metric Units 1 Grade 4 Objective: Know and use metric conversions of length, area, volume and capacity Question 1. Convert the following units (a) A rectangle measures 4m by 2m. Calculate the area of the rectangle in centimetres 2 (b) A square has an area of What is the area in centimetres 2?.. (c) A square has an area of Find the length of one side in centimetres cm.. (d) A cube has a volume has a 6 3. Find the volume in (Total 8 marks)

71 Question 2 (a) The perimeter of an equilateral triangle is 3 metres. Find the length of one side in cm. cm.. (Total 2 marks) Total /10

72 Estimation 1 Grade 4 Objective: Estimate answers Question 1. Use approximations to estimate the solution to the following (a) (b) (Total 4 marks) Question 2 Estimate the solution to x 20.. (Total 2 marks)

73 Question 3. Use approximations to find estimates to the following (a) 2 3 of 587. (b) 52. (Total 4 marks) Total /10

74 Fractions and percentages 1 Grade 4 Objective: Interpret fractions and percentages as operators. Question 1 Work out 343 x 3 7 Question 2 A sofa costs 925. During a sale its price has been reduced by a fifth. What is the sale price of this sofa? Question 3 Megan surveyed 2200 dog owners. 7 out of 20 dog owners bought Doggy Biscuits dog food. a) What percentage of the dog owners bought Doggy Biscuits dog food? b) How many people bought Doggy Biscuits dog food? Question 4 Parveen scored 18 out of 25 in a maths test. What percentage did she score? Total /10

75 Fractions and ratio problems 1 Grade 4 Objective: Identify and work with fractions in ratio problems. Question 1 Share 360 in the ratio 3:4:2. Find the value of smallest share. Question 2 P NOT TO SCALE 6cm S 8cm T R In similar triangles PST and PQR PQ = 6 cm, ST = 8 cm and RQ = 9 cm 9cm Q Find a) Side PT. Give your answer to 2 decimal places. b) Side TQ. Give your answer to 2 decimal places.

76 Question 3 Radhika wants to make a cake which weighs 560 grams. She uses sugar, flour, chocolate and eggs, in the ratio of 3:5:4:2. Calculate the weight of each ingredient: Flour: Sugar: Eggs: Chocolate: (4) Total /10

77 LCM and HCF 1 Grade 4 Objective: Understand and find LCM and HCF. Question 1 Find the HCF of 18 and 24. Question 2 Find the LCM of 14 and 3. Question 3 Express 42 as a product of its prime factors using any method. Question 4 Express 48 as a product of its prime factors using any method.

78 Question 5 Find the HCF of 42 and 48. Total /10

79 Multiples and factors 1 Grade 4 Objective: Understand and find multiples and factors. Question 1 A bell chimes every 15 seconds. Another bell chimes every 14 seconds. If they both chime together now, after how many seconds will it be before both chime together again. Question 2 From Chatham train station, a train to London leaves every 15 minutes. From the same train station the train leaves to Faversham every 20 minutes. If the trains to London and Faversham leave at 10 AM from Chatham train station, together, at what time will the trains to London and Faversham depart from Chatham train station at the same time again? Question 3 Bread rolls come in packets of six. Sausage rolls come in packets of eight. What is the least number of bread rolls and sausage rolls Aryan needs to buy so that exactly one sausage can be placed in every bread roll without any leftover?

80 Question 4 Write a number that has exactly five factors. (1) Question 5 Which is smaller: Fourth square number or third cube number? (1) Question 6 Write a number that is more than 12 and a multiple of six. It must also be a factor of 72. Total /10

81 Multiplying fractions 1 Grade 4 Objective: Multiply fractions including improper fractions and mixed numbers. Question 1 Work out these questions always give your answer in the simplest form: 7 5 x 2 8 = 5 7 x 3 2 = x 31 8 =

82 Question 2 Which is smaller? 3 5 of or 2 5 of Which is bigger? 2 7 of or 3 5 of Total /10

83 Operations 1 Grade 4 Objective: Understand the relationships between operations e.g. Inverse operations Question 1 Work out these: 15-5 x = = 4 x = x 25 (4) Question 2 Tom says that: x 8 = 39 Jack says that: X 8 = 88 Who is correct? Explain your answer. Question 3 Find the missing number in the following: (54 9) + (-3 + ) = 24

84 Question 4 Which is smaller? 5+ 4 x 3 or (5+4) x 3 Total /10

85 Order of operations 1 Grade 4 Objective: Understand and use the order of operations. Question 1 a) (1) b) (13+42) 11-5 (1) Question 2 Riya says that: x 9 = 117 Is she correct? Explain your answer.

86 Question 3 Which of the following is larger? or (-5-3) 2 Question 4 Rajesh says (4+9) + 3 x 5 =80 Jack says (4+9) + 3 x 5 = 28 Who is correct? You must show full working out. Question 5 Insert brackets, if needed, to make the answer correct: 7+5 x 10-3=84 (1) x 2= 30 (1) Total /10

87 Powers 1 Grade 4 Objective: Understand and use powers, including square numbers up to 15 x 15 Question 1 Evaluate: 5 3 x 3 5 (1) Question 2 Evaluate: 5 3 x Question 3 Work out the value of: (1) Question 4 Estimate the value of: (11.4) 2 (1)

88 Question 5 Nadine s phone bill is 15 each month. How much does she pays in 15 months? Question 6 Give two examples of numbers that are both square numbers and cube numbers. (1) Question 7 In the concert hall, there are 13 rows of thirteen seats in each row. Only 144 people came to see the concert. How many seats are empty? Total /10

89 Prime numbers 1 Grade 3 Objective: Understand prime numbers. Question 1 Write down all the prime numbers between 80 and 100. Question 2 Is 45 prime number? NO YES Explain your answer: Question 3 a) 7,13,12, 14, 15, 27, 21 and 1 Which two numbers when added together equals a prime number? (1)

90 b) Write down all the prime numbers in the list: Question 4 Give an example of a prime number whose digit sum is one more than a square number. (1) Question 5 Write 42 as a product of its prime factors. Total /10

91 Rounding 1 Grade 5 Objective: figures) Round to an appropriate degree of accuracy (e.g. to decimal places or significant Question 1. Round the following to the given degree of accuracy (a) to 1 decimal place.. (1) (b) to 2 decimal places.. (1) (Total 2 marks) Question 2 Round the following numbers to the degree of accuracy given (a) to 1 significant figure.. (1) (b) to 2 significant figures.. (1) (Total 2 marks)

92 Question 3. Round these numbers to the nearest integer (a) (1) (b) (1) (Total 2 marks) 4. Tara worked out the answer to her question using a calculator. Her calculator read Her teacher told her to round it to two significant figures. What number should she write?.. (Total 2 marks)

93 5. Round the following numbers to the degree of accuracy given (a) to 3.d.p. (1) (b) to 4.d.p.. (1) (Total 2 marks) Total /10

94 Ratio Sharing 1 Grade 4 Objective: Divide a quantity in a given ratio. Question 1. A piece of wood is of length 45 cm. The length is divided in the ratio 7 : 2 Work out the length of each part... cm... cm (Total 3 marks) Question 2. Alex and Ben were given a total of 240 They shared the money in the ratio 5 : 7 Work out how much money Ben received.... (Total 3 marks)

95 Question 3. Melissa is 13 years old. Becky is 12 years old. Daniel is 10 years old. Melissa, Becky and Daniel share 28 in the ratio of their ages. Becky gives a third of her share to her mother. How much should Becky now have?... (Total 4 marks) Total /10

96 Use scale factors, diagrams and maps 1 Grade 3 Objective: Use scale factors, diagrams and maps (including geometrical problems) Question 1 On the grid draw an enlargement of the shape with a scale factor of 2. Question 2 The scale on this map is 1cm : 4 km B (Total 3 marks) C A D (a) Measure the distance from A to B in cm.cm(1) (b) What is the actual distance from A to B?.km(1) (c) A car drives from A to B, B to C, C to D What is the total distance travelled in km?.km (Total 4 marks)

97 Question 3 A rectangular room measures 20m by 15m. Workout the measurements for a scale drawing of the room using a scale 1 cm = 2 m 15m 20m Scale drawing length.width (Total 3 marks) Total /10

98 Pie Charts 1 Grade 3 Objective: Interpret and construct pie charts for categorical data Question 1 The pie chart shows information about the different types of pizza a group of students liked best. (a) Which type of pizza was liked best by the least number of students? (1) 20 of the students like Cheese and Tomato pizza best. (b) How many of the students like Ham and Pineapple best? (1)

99 Question 2 Jim carried out a survey to find out the type of TV programme people like the best. He is going to show his results in a pie chart. The table gives information about his results. TV programme Number of people Angle in pie chart News Sports 34 Drama 20 Soaps 48 Comedy 28 Complete the pie chart for this information. (3)

100 Question 3 The table gives the number of one-bedroom, two-bedroom, three-bedroom and four-bedroom houses in Hunton. Number of bedrooms one two three four Number of houses (a) In the circle, draw a pie chart to show this information. (3) The pie chart below gives information about the number of one-bedroom, two-bedroom, threebedroom and four-bedroom houses in Lambton.

101 four-bedroom one-bedroom three-bedroom two-bedroom The total number of these houses in Lambton is 280 (b) Work out the number of one-bedroom houses. Total Mark /10

102 Collecting like terms 1 Grade 4 Objective: Simplify algebraic expressions by collecting like terms Question1 Simplify 7x + 4y 4x + 3y Question 2... (Total 2 mark) Simplify 8f f + 6f Question 3... (Total 1 mark) Simplify 8x 3x + 5x... (Total 1 mark) Question4 Simplify 9x + x + 13y + y... (Total 2 mark)

103 Question 5 Simplify 13p q p + 4q (Total 2 mark) Question 6 Simplify 19 + a 2b + 15a + 8 2b... (Total 2 mark) Total /10

104 Expressions 1 Grade 4 Objective: Use the correct algebraic notation in expressions and equations, including using brackets Question 1 x is shared equally between seven people. How much does each person receive?... (Total 1 mark) Question 2 Write an expression for the total cost of six apples at a pence each and ten pears at b pence each.... (Total 1 mark) Question 3 Write an expression for the number that is six times smaller than n... (Total 1 mark) Question 4 Nell buys y packets of sweets costing 45p per packet. He pays T pence altogether. Write a formula for the total cost of sweets... (Total 1 mark)

105 Question 5 Write down an equation for two bananas at h pence each and three grapefruit at k pence each when the total cost is 1.36? Question 6... (Total 1 mark) Chloe is x years old. Her sister is three years older. Her brother is twice her age. The sum of their ages is 67 years. a. Write an expression, in terms of x, for her sister s age. b. Form an equation in x and work out Chloe s age.... (Total 1 mark)... (Total 2 marks)

106 Question 7 Two angles have a difference of 30 o. Together they form a straight line. The smaller angle is x o a. Write down an expression for the larger angle, in terms of x. b. Work out the value of x.... (Total 1 mark)... (Total 1 mark) Total /10

107 Graphs of Linear Functions 1 Grade 4 Objective: Recognise, sketch and interpret graphs of linear functions. Question 1 Sketch the graph of each function, clearly indicating the y-intercept. a a) y = 5x -3 b) y = 10 2x c) 2y = 4x + 8 d) y = -3x y x y b x y c x

108 y d x Question 2 Which of these are linear functions? Circle your answer(s) y = 7 3x y = x 4 y = x x + 3y = 5 y = x Total /10

109 Graphs of quadratic functions 1 Grade 4 Objective: Recognise, sketch and interpret graphs of quadratic functions Question 1 On the grid, draw the graph for the function = for values of x between -2 and 4 (Total 3 marks)

110 Question 2 On the grid, draw the graph for the function = for values of x from -4 to +3 (3) (b) Use the graph to find the value of y when x = 1.5 Answer. (1) (Total 4 marks)

111 Question 3 On the grid, draw the graph for the function = for values -2 x +4 (Total 3 marks) Total marks / 10

112 Inequalities on number lines 1 Grade 4 Objective: Represent the solution of a linear inequality on a number line. Question 1 Draw diagrams to represent these inequalities. (a) x 3 (b) x > Question 2-3 n < 2 n is an integer Write down all the possible values of n and represent these values on a number line.... (3) Question 3 Write down the inequality that is represented by each diagram below. (a) (b) (4)

113 (c) Which of these inequalities (a) or (b) has the most integer solutions?... (1) Total /10

114 Number Machines 1 Grade 4 Objective: Interpret simple expressions as functions with inputs and outputs Question 1 Input Output Question 2... (Total 1 mark) Input x 2-5 Output..... (Total 2 mark) Question 3 Input Output... (Total 3 mark)

115 Question 4 Here is a number machine. Input 2-4 Output (a) Work out the output when the input is 2... (Total 2 mark) (b) Work out the input when the output is (Total 2 mark) Total /10

116 Simplify indices 1 Grade 5 Objective: Simplify expressions involving sums, products and powers, including using index laws Question 1. Simplify (t 3 ) 2 Question (Total 1 mark) 9 w Simplify 4 w... (Total 1 mark) Question 3. Simplify 2 m n 8 Question (Total 1 mark) Simplify t 2 + t (Total 1 mark) Question 5. Circle the expression equivalent to 6n 3n 2n + n 9n 2 6n 2 + n 7n 6n 2 6n 9n 2... (Total 2 marks)

117 Question 6. Simplify... (Total 2 marks) Question 7. Write as a single power of x.... (Total 2 mark) Total /10

118 Writing formulae and expressions 1 Grade 4 Objective: Write simple formulae or expressions from a problem Question 1 Ritu buys a packets of red sweets (r) and b packets of green sweets (g). Write down an expression for the total number of packets of sweets Ritu buys.... (1) Question 2 A woman is x years old. Write expressions to represent the following statements:- (i) How old will she be five years from now... (1) (ii) How old was she 7 years ago?... (1) (iii) Her son is a quarter of her age. How old is her son?... (1) Question 3 Write an expression for the perimeter of a square if the length of one side is x... (1)

119 Question 4 I think of a number, treble it, subtract ten and then divide it by 5. If my starting number is n, write an expression to show what number I would get. Question 5... A coach company charges a basic rate of C plus 0.50 for every kilometre travelled. Write a formulae to represent the cost of a journey of M kilometres in terms of C and M. Question 6... An equilateral triangle has sides of length 5x. Write an expression for the perimeter of the equilateral triangle.... (1) Total /10

120 Solve linear inequalities one variable 1 Grade 5 Objective: Solve linear inequalities in one variable Question 1 Solve. (a) 5x 1 > (b) Write down the smallest integer that satisfies 5x - 1 > (1) Question 2 Solve. (a) 3x + 2 < x - 12 (b) Write down the largest integer that satisfies 3x + 2 < x (3)... (1)

121 Question 3 Solve. 9(2 + 3x) < (3) Total /10

122 Area of Triangles, Trapezia and Parallelograms 1 Grade 4 Objective: Know and apply formulae to calculate areas of triangles, trapezia and parallelograms. Question 1. Find the areas of the following 2D shapes. (a) m 2 (b) cm 2 (c) m 2

123 (d) cm 2 (e). cm 2. Total /10

124 Area of a Circle 1 Grade 4 Objective: Calculate the area of a circle. Question 1. (a) A circular dinner plate has a radius of 13cm. Calculate the area of the dinner plate, giving your answer to 2 decimal places. (b) A wheel has a diameter of 60cm. Calculate the area of the wheel. Give your answer to 1 decimal place. (Total 4 marks)

125 Question 2 Find the area of the semi-circle shown. The diagram is not to scale and has a diameter of 20cm. Give your answer to 2 decimal places. (Total 3 marks) Question 3. Find the area of the shaded area shown. Leave your solution in terms of. 3cm 5cm (Total 3 marks) Total /10

126 Circumference of a Circle 1 Grade 4 Objective: Calculate the circumference of a circle Question 1. (a) Calculate the circumference of a circle with radius 5cm. Give your answer to 1 decimal place.... (b) Calculate the circumference of a circle with a diameter of 3.5 cm. Give your answer to 2 decimal places.... (3) (Total 5 marks) Question 2. A circle has circumference 31.4cm. Calculate the radius of the circle, giving your answer to 1 decimal place....

127 Question 3. The circumference of a circle is 50cm. Find the area of the circle, giving your answer to 2 decimal places.... (Total 3 marks) Total /10

128 Pythagoras 1 Grade 5 Objective: Know and use Pythagoras's theorem for right-angled triangles Question 1 ABC is a right angled triangle. AB = 9 cm, BC = 12 cm Calculate the length of AC. Question 2 (Total 3 marks). (3) ABC is a right angled triangle. AB = 11 cm, AC = 18 cm Calculate the length of BC. Give your answer correct to 1 decimal place.. (Total 3 marks) (3)

129 Question 3 ABCD is a rectangle. AB = 19 m, AD = 13 m Work out the length of the diagonal BD. Give your answer correct to 3 significant figures. (Total 4 marks). (4) Total /10

130 Surface Area 1 Grade 5 Objective: Calculate the surface area of spheres, pyramids, cones and composite solids Question 1 Find the surface area of this cone, including the base. Give you answer to the nearest square centimetre cm 5.7 cm Question 2 (Total 3 marks)... The bowl shown is in the shape of a hemisphere of radius 8 cm. Find the outside surface area of the bowl to the nearest square centimetre. (3)... (Total 3 marks) (3)

131 Question 3 Find the total surface area of this box, which is a prism with an L shaped face. (Total 4 marks) Total /10.. (4)

132 Checking Calculations 1 Grade 4 Objective: Check calculations using approximation and estimation (including using technology) Question 1. For each calculation write down the solution you consider to be the best estimate. (a) 4.56 x (i) 10 (ii) 100 (iii) (1) (b) 2.76 x 99 (i) 27 (ii) 270 (iii) (1) (c) (i) 1.6 (ii) 16 (iii) (1) (d) (i) 8 (ii) 6 (iii) (1) (Total 4 marks)

133 Question 2 Use an estimate to show if these answers are correct and explain your answer (a) 12% of = (b) 96% of = (c) 23% of = (Total 6 marks)

134 Total /10

135 Index Laws 1 Grade 5 Objective: Calculate with roots and with integer indices Question 1 i) a 8 x a 2. (1) ii) x 7 x 3. (1) iii) iv) 3a 2 b x 4a 3 b.

136 v) (x 4 ) 6. (1) vi) (3x 2 y) 3. (3) Total /10

137 Compare quantities using ratio 1 Grade 4 Express a multiplicative relationship between two quantities Question 1 A bank gives you 28 Euros when you exchange 20. How much will you get for exchanging 135? Question 2 (Total 2 marks) Barry uses blue and red to make purple, in the ratio 3:5. How many tins of red will he need to mix with the 9 tins of blue? Question 3 Louis, Steve and Ella shared some money in the ratio 2 : 3 : 5 Ella got 54. How much money did Steve get?... (Total 2 marks) (Total 2 marks)

138 Question 3 Shannon and Liam share some chocolate in the ratio 4:3 Liam gets 81 grams of chocolate. Work out how many grams Shannon receives. Question 4...g A shop sells freezers and cookers. The ratio of the number of freezers sold to the number of cookers sold is 5 : 2 The shop sells 140 freezers in one week. Work out the number of cookers sold that week. (Total 2 marks) (Total 2 marks) Total /10

139 Division of a quantity as a ratio 1 Grade 4 Objective: Express the division of a quantity into two parts as a ratio Question 1 Grace and Jack share 140 in the ratio 3 : 4 Work out the amount of money that Jack gets (Total 2 marks) Question 2 Keith and Graham share 105 in the ratio 4:3 Work out how much Keith gets. Question 3 Graham and Michael share 35 in the ratio 5 : 2 Work out the amount of money that Graham gets (Total 2 marks)

140 Question 4 (Total 2 marks) In the 2012 Paralympic Games, the total number of gold and silver medals won by Brazil was 35 The ratio of the number of gold medals that Brazil won to the number of silver medals that Brazil won was 3 : 2 How many silver medals were won by Brazil? Question 5... (Total 2 marks) Green paint can be made by mixing yellow paint and blue paint in the ratio 2 : 3 Wendy makes 15 litres of green paint. Work out how many litres of blue paint Wendy uses....litres (Total 2 marks) Total /10

141 Percentage Change 1 Grade 5 Objective: Solve problems involving percentage change, including original value problems. Question 1. Rupal buys a pair of jeans for 44 in the sale. They were originally 80. What was the percentage discount? % (Total 2 marks) Question 2. Sean buys a second-hand car for 3200 and sells it for What is Sean s percentage profit? % (Total 2 marks) Question 3. Rachel s monthly pay increased by 4% to What was Rachel s pay before the increase? (Total 2 marks)

142 Question 4. In a sale, normal prices are reduced by 30%. Jane buys a road bike for 560. What is the normal price of the bike? (Total 2 marks) Question 5. During the Easter holidays, 78 Year 11 students attended a revision class. This was 65% of all of Year 11. How many students are there in Year 11 altogether? (Total 2 marks) Total /10

143 Problems involving ratios 1 Grade 4 Objective: Solve problems involving ratios, e.g. conversion, comparison, scaling, mixing, concentrations Question 1 Louise and Anil share some sweets in the ratio 3 : 8 Anil gets 32 sweets. (a) How many sweets does Louise get? Anil also has a tin of chocolates. There are 80 chocolates in the tin. 45% of the chocolates have toffee in the middle. (b) Work out the number of chocolates that have toffee in the middle.... Question 2... (Total 4 marks) Kiran is going to make some concrete mix. He needs to mix cement, sand and gravel in the ratio 1 : 3 : 5 by weight. Kiran wants to make 180 kg of concrete mix. Kiran has 18 kg of cement 85 kg of sand 90 kg of gravel Does Kiran have enough cement, sand and gravel to make the concrete mix? (Total 3 marks)

144 Question 3 Jane made some almond biscuits which she sold at a fête. She had: 5 kg of flour 3 kg of butter 2.5 kg of icing sugar 320 g of almonds Here is the list of ingredients for making 24 almond biscuits. Jane made as many almond biscuits as she could, using the ingredients she had. Work out how many almond biscuits she made. (Total 3 marks) Total /10

145 Expanding binomials 1 Grade 5 Objective: Expand the product of two binomials Question 1. (a) Expand and simplify ( +5)( +6) (b) Expand and simplify ( +3)( 2).. (c) Expand and simplify (2 1)( 2).

146 (d) Expand and simplify (8 7)(5 2 ) (e) Expand and simplify (3 4 ) 2.. (Total 10 marks) Total /10

147 Linear Equations 1 Grade 4 Objective: Solve linear equations with one unknown on both sides and those involving brackets. Question 1 Solve 3x 6 = 4x Question 2 Solve 5x = 2x Question 3 Solve 3(f + 9) = 30...

148 Question 4 (i) Solve 2(3a - 1) = 2(a + 1)... (3) (ii) Show how you can check your solution is correct.... (1) Total /10

149 Parallel lines 1 Grade 6 Objective: Use the form = + to identify parallel lines. Question 1 Here is the graph of =0 On the grid, draw a line which is parallel to =0. (1) (Total 1 marks) Question 2 (a) Write down the gradient of the line =2 +5. (1) (b) Write down the equation of a line parallel to =7 4. (1) (c) Write down the equation of a line with gradient ½ and y-intercept of 6. (1) (Total 3 marks)

150 Question 3 Here is a straight line graph. Find the equation of the line. (Total 2 marks) Question 4 Here are the equations of 4 lines: Line L1: =3 6. Line L2: Line L3: Line L4: +3 =1 3 = =10. Which two lines are parallel? (Total 2 marks)

151 Question 5 A B The lines A and B are parallel. The line A passes through the point (0, 6) The line B has equation y = 3x + 1 Write down the equation of line A. (Total 2 marks) TOTAL /10

152 Combined transformations 1 Grade 6 Objective; Describe the effects of combinations of rotations, reflections and translations (using column vector notation for translations) Question 1 y 10 A x 5 10 a) Reflect shape A in the y axis. Label the reflection with the letter B b) Reflect shape B in the x axis. Label the reflection with the letter C c) Describe fully the single transformation that will transform shape C onto shape A. (5)

153 Question 2 y 10 5 A x 5 10 a) Enlarge shape A by a scale factor of 2 from the origin. Label the enlarged shape with the letter B 12 4 b) Translate shape B by the vector. Label the enlarged shape with the letter C c) Describe fully the transformation that will transform shape C onto shape A (5) Total / 10

154 Derive triangle results 1 Grade 5 Objective: Derive results about triangle angles and sides using known angle facts, triangle congruence, similarity and properties of quadrilaterals, and use known results to obtain simple proofs. Include the fact that the base angles of an isosceles triangle are equal, and include derivation of Pythagoras' theorem. Question 1 Prove the angles of any triangle add up to 180 o A B C (Total 4 marks)

155 Question 2 In a triangle with sides a, b, c as shown below, prove Pythagoras Theorem. c a b (Total 6 marks) Total /10

156 Enlargements and negative scale factors 1 Grade 5 Objective: Question 1 Identify and construct enlargements including using negative scale factors 10 y D 5 C x 5 a) Describe the enlargement that would transform shape C onto shape D b) Describe the enlargement that would transform shape D onto shape C (3) Question 2 Enlarge this shape by a scale factor of -½ from the point ( 2, 3 ) 10 y x 5 (3)

157 Question 3 10 y x 5 a) Enlarge this shape by a scale factor of -2 from the point ( 5, 0 ) b) What happens to the interior angles of a shape when it is enlarged? (4) Total marks / 10

158 Standard constructions 1 Grade 5 Objective: Use the standard ruler and compass constructions to construct a 60 angle, a perpendicular bisector of a line segment, a perpendicular to a given line from/at a given point, and an angle bisector Question 1. Bisect this angle Question 2. Construct an isosceles triangle with side length 4cm, 6cm, 6cm. (Total 3 marks) (Total 4 marks)

159 Question 3. Construct a perpendicular bisector on the line AB below B A (Total 3 marks) Total /10

160 Volume 1 Grade 5 Objective: Calculate the volume of spheres, pyramids, cones and composite solids. Question 1 Find the volume of this cone of base radius 5.7 cm. Give your answer to the nearest cubic centimetre. Question 2 (Total 3 marks)... The bowl shown is in the shape of a hemisphere of radius 8 cm. Find the volume of the bowl to the nearest cubic centimetre. (3)... (Total 3 marks) (3)

161 Question 3 Find the volume of this box, which is a prism with an L shaped face. (Total 4 marks) Total /10. (4)

162 Calculating with fractions 1 Grade 5 Objective: Calculate exactly with fractions, including solving problems Question 1 Work out (1) Question 2 Work out 2 _ (1) Question 3 Evaluate Leave you answer as a mixed number 7 6 Question 4. Work out 3 x (1)

163 Question 5 Work out 2 x 3. Give your answer as a fraction in its simplest form 9 8 Question 6. Evaluate 6 4. Give your answer as a fraction in its simplest form 7 3 Question 7. Work out 4 of (1) Total /10

164 Powers and Roots 1 Grade 6 Objective: Calculate and estimate powers and roots Question 1 Evaluate i) 5 3 ii) 10 4 iii) 1 8 (3) Question 2 Work out the value of i) 121 ii) 3 64 iii) 4 81 (3) Question 3 The square root of 56 lies between which two integer values. Explain your answer.

165 Question 4 The cube root of 100 lies between which two integer values. Explain your answer. Total /10

166 Scatter Diagrams 1 Grade 5 Objective: Interpret scatter graphs by discussing correlation and causation, draw lines of best fit, make predictions, and interpolate and extrapolate apparent trends whilst knowing the dangers of doing so. Question 1 The table below shows the number of ice creams sold over 10 days by a shop along with the temperature on those days. Midday Temp, O c Ice creams sold a) Present this data in a scatter diagram ICECREAMS SOLD MIDDAY TEMP, C O (3) b) How many ice creams where sold on the hottest day? (1)

167 c) Draw the line of best fit on the scatter graph d) Describe the relationship between the number of ice creams sold and the midday temperature (1).... e) Predict the midday temperature if 15 ice creams were sold. (1). (1) Total for question 7 marks Question 2 A second hand car sales lot published the following sales and ages of cars.

168 VALUE, 000'S AGE OF CARS, YRS a) Describe the correlation. b) Draw the line of best fit. (1) c) Another car is sold, the car is 12 years old. Estimate the value of the car. (1). (1) Total for question 3 marks Total / 10

169 Inverse Functions 1 Grade 6 Objective: Interpret the reverse process as the inverse function including the correct notation. Question 1. Find 1 ( ) for each of the following functions (a) ( ) = 4 (b) ( ) = (c) ( ) = 3 4..

170 (d) ( ) = (e) ( ) = (Total 10 marks) Total /10

171 Represent linear inequalities 1 Grade 6 Objective: Represent the solution of a linear inequality in two variables on a number line, using set notation and on a graph Question 1. The graph shows the region that represents the inequalities < 3, <, and + > 12 by shading the unwanted regions. a) In the dataset listed below, circle the points that satisfy all three inequalities. { (4,8), (7,4), (5,6), (4,7), (5,5)} b) If the inequality < were to be changed to, what would the fully correct dataset be? (Total 3 marks)